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The value of \( \Large \frac{\cot^{2} \theta +1}{\cot^{2} \theta -1} \) is equal to:

A) \( \Large \sin 2 \theta \)
B) \( \Large \cos 2 \theta \)
C) \( \Large \cosh 2 \theta \)
D) \( \Large \sec 2 \theta \)

Correct Answer:




D) \( \Large \sec 2 \theta \)

Description for Correct answer:

\( \Large \frac{\cot^{2} \theta +1}{\cot^{2}\theta -1}=\frac{1+\tan^{2}\theta }{1-\tan^{2} \theta } \)

=\( \Large \frac{1}{\cos^{2} \theta -\sin^{2} \theta } = \frac{1}{\cos 2 \theta } = \sec 2 \theta \)

Part of solved Trigonometric ratio questions and answers : >> Elementary Mathematics >> Trigonometric ratio

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